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arXiv · hep-th/9801148

Geometric quantization of N=2, D=3 superanyon

I. V. Gorbunov·S. L. Lyakhovich
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Abstract

A classical model of N=2, D=3 fractional spin superparticle (superanyon) is presented, whose first-quantization procedure combines the Berezin quantization for the superspin degrees of freedom and the canonical quantization for the space-time ones. To provide the supersymmetry for the quantised theory, certain quantum corrections are required to the N=2 supersymmetry generators as compared to the Berezin procedure. The renormalized generators are found and the first quantised theory of N=2 superanyon is constructed.

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I. V. Gorbunov, S. L. Lyakhovich. 1998-01-22. Geometric quantization of N=2, D=3 superanyon. https://doi.org/10.1016/s0370-2693(98)00100-2

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